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Simplifying 5a2x2 + ax = 6 Reorder the terms: ax + 5a2x2 = 6 Solving ax + 5a2x2 = 6 Solving for variable 'a'. Reorder the terms: -6 + ax + 5a2x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + ax + 5a2x2 = 0 Factor a trinomial. (-6 + -5ax)(1 + -1ax) = 0Subproblem 1
Set the factor '(-6 + -5ax)' equal to zero and attempt to solve: Simplifying -6 + -5ax = 0 Solving -6 + -5ax = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5ax = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5ax = 0 + 6 -5ax = 0 + 6 Combine like terms: 0 + 6 = 6 -5ax = 6 Divide each side by '-5x'. a = -1.2x-1 Simplifying a = -1.2x-1Subproblem 2
Set the factor '(1 + -1ax)' equal to zero and attempt to solve: Simplifying 1 + -1ax = 0 Solving 1 + -1ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1ax = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ax = 0 + -1 -1ax = 0 + -1 Combine like terms: 0 + -1 = -1 -1ax = -1 Divide each side by '-1x'. a = x-1 Simplifying a = x-1Solution
a = {-1.2x-1, x-1}
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